TSTP Solution File: SEU159+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU159+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 12:00:35 EDT 2022
% Result : Theorem 28.74s 28.46s
% Output : Proof 28.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU159+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 22:50:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 28.74/28.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.74/28.46 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.74/28.47
% 28.74/28.47 %-----------------------------------------------------
% 28.74/28.47 fof(t38_zfmisc_1, conjecture, ! [_29380, _29383, _29386] : (subset(unordered_pair(_29380, _29383), _29386) <=> in(_29380, _29386) & in(_29383, _29386)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t38_zfmisc_1)).
% 28.74/28.47 fof(d3_tarski, axiom, ! [_29625, _29628] : (subset(_29625, _29628) <=> ! [_29646] : (in(_29646, _29625) => in(_29646, _29628))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 28.74/28.47 fof(d2_tarski, axiom, ! [_29846, _29849, _29852] : (_29852 = unordered_pair(_29846, _29849) <=> ! [_29873] : (in(_29873, _29852) <=> _29873 = _29846 | _29873 = _29849)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_tarski)).
% 28.74/28.47
% 28.74/28.47 cnf(1, plain, [-(12 ^ []), subset(unordered_pair(8 ^ [], 9 ^ []), 10 ^ [])], clausify(t38_zfmisc_1)).
% 28.74/28.47 cnf(2, plain, [-(12 ^ []), -(in(9 ^ [], 10 ^ []))], clausify(t38_zfmisc_1)).
% 28.74/28.47 cnf(3, plain, [-(12 ^ []), -(in(8 ^ [], 10 ^ []))], clausify(t38_zfmisc_1)).
% 28.74/28.47 cnf(4, plain, [-(11 ^ []), in(8 ^ [], 10 ^ []), in(9 ^ [], 10 ^ [])], clausify(t38_zfmisc_1)).
% 28.74/28.47 cnf(5, plain, [-(11 ^ []), -(subset(unordered_pair(8 ^ [], 9 ^ []), 10 ^ []))], clausify(t38_zfmisc_1)).
% 28.74/28.47 cnf(6, plain, [-(7 ^ [_9248, _9192]), in(6 ^ [_9248, _9192], _9248)], clausify(d3_tarski)).
% 28.74/28.47 cnf(7, plain, [-(7 ^ [_9248, _9192]), -(in(6 ^ [_9248, _9192], _9192))], clausify(d3_tarski)).
% 28.74/28.47 cnf(8, plain, [-(1 ^ [_8810, _8646, _8577, _8507]), _8810 = _8577], clausify(d2_tarski)).
% 28.74/28.47 cnf(9, plain, [-(1 ^ [_8810, _8646, _8577, _8507]), _8810 = _8507], clausify(d2_tarski)).
% 28.74/28.47 cnf(10, plain, [-(2 ^ [_8646, _8577, _8507]), in(_8810, _8646), -(_8810 = _8507), -(_8810 = _8577)], clausify(d2_tarski)).
% 28.74/28.47 cnf(11, plain, [-(2 ^ [_8646, _8577, _8507]), -(in(_8810, _8646)), 1 ^ [_8810, _8646, _8577, _8507]], clausify(d2_tarski)).
% 28.74/28.47 cnf(12, plain, [12 ^ [], 11 ^ []], clausify(t38_zfmisc_1)).
% 28.74/28.47 cnf(13, plain, [-(unordered_pair(_7207, _7340) = unordered_pair(_7274, _7405)), _7207 = _7274, _7340 = _7405], theory(equality)).
% 28.74/28.47 cnf(14, plain, [-(_5041 = _5041)], theory(equality)).
% 28.74/28.47 cnf(15, plain, [_5194 = _5239, -(_5239 = _5194)], theory(equality)).
% 28.74/28.47 cnf(16, plain, [-(in(_6016, _6147)), in(_5949, _6082), _5949 = _6016, _6082 = _6147], theory(equality)).
% 28.74/28.47 cnf(17, plain, [-(subset(_9192, _9248)), 7 ^ [_9248, _9192]], clausify(d3_tarski)).
% 28.74/28.47 cnf(18, plain, [subset(_9192, _9248), in(_9362, _9192), -(in(_9362, _9248))], clausify(d3_tarski)).
% 28.74/28.47 cnf(19, plain, [_8646 = unordered_pair(_8507, _8577), 2 ^ [_8646, _8577, _8507]], clausify(d2_tarski)).
% 28.74/28.47
% 28.74/28.47 cnf('1',plain,[12 ^ [], 11 ^ []],start(12)).
% 28.74/28.47 cnf('1.1',plain,[-(12 ^ []), subset(unordered_pair(8 ^ [], 9 ^ []), 10 ^ [])],extension(1)).
% 28.74/28.47 cnf('1.1.1',plain,[-(subset(unordered_pair(8 ^ [], 9 ^ []), 10 ^ [])), 7 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])]],extension(17,bind([[_9248, _9192], [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])]]))).
% 28.74/28.47 cnf('1.1.1.1',plain,[-(7 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])]), -(in(6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], unordered_pair(8 ^ [], 9 ^ [])))],extension(7,bind([[_9248, _9192], [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])]]))).
% 28.74/28.47 cnf('1.1.1.1.1',plain,[in(6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], unordered_pair(8 ^ [], 9 ^ [])), -(2 ^ [unordered_pair(8 ^ [], 9 ^ []), 9 ^ [], 8 ^ []]), -(6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])] = 8 ^ []), -(6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])] = 9 ^ [])],extension(10,bind([[_8646, _8507, _8810, _8577], [unordered_pair(8 ^ [], 9 ^ []), 8 ^ [], 6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], 9 ^ []]]))).
% 28.74/28.47 cnf('1.1.1.1.1.1',plain,[2 ^ [unordered_pair(8 ^ [], 9 ^ []), 9 ^ [], 8 ^ []], unordered_pair(8 ^ [], 9 ^ []) = unordered_pair(8 ^ [], 9 ^ [])],extension(19,bind([[_8646, _8507, _8577], [unordered_pair(8 ^ [], 9 ^ []), 8 ^ [], 9 ^ []]]))).
% 28.74/28.47 cnf('1.1.1.1.1.1.1',plain,[-(unordered_pair(8 ^ [], 9 ^ []) = unordered_pair(8 ^ [], 9 ^ [])), 8 ^ [] = 8 ^ [], 9 ^ [] = 9 ^ []],extension(13,bind([[_7207, _7274, _7340, _7405], [8 ^ [], 8 ^ [], 9 ^ [], 9 ^ []]]))).
% 28.74/28.47 cnf('1.1.1.1.1.1.1.1',plain,[-(8 ^ [] = 8 ^ [])],extension(14,bind([[_5041], [8 ^ []]]))).
% 28.74/28.47 cnf('1.1.1.1.1.1.1.2',plain,[-(9 ^ [] = 9 ^ [])],extension(14,bind([[_5041], [9 ^ []]]))).
% 28.74/28.47 cnf('1.1.1.1.1.2',plain,[6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])] = 8 ^ [], -(8 ^ [] = 6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])])],extension(15,bind([[_5239, _5194], [8 ^ [], 6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])]]]))).
% 28.74/28.47 cnf('1.1.1.1.1.2.1',plain,[8 ^ [] = 6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], -(in(6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], 10 ^ [])), in(8 ^ [], 10 ^ []), 10 ^ [] = 10 ^ []],extension(16,bind([[_6016, _5949, _6082, _6147], [6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], 8 ^ [], 10 ^ [], 10 ^ []]]))).
% 28.74/28.47 cnf('1.1.1.1.1.2.1.1',plain,[in(6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], 10 ^ []), -(7 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])])],extension(6,bind([[_9248, _9192], [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])]]))).
% 28.74/28.47 cnf('1.1.1.1.1.2.1.1.1',plain,[7 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])]],reduction('1.1.1')).
% 28.74/28.47 cnf('1.1.1.1.1.2.1.2',plain,[-(in(8 ^ [], 10 ^ [])), -(12 ^ [])],extension(3)).
% 28.74/28.47 cnf('1.1.1.1.1.2.1.2.1',plain,[12 ^ []],reduction('1')).
% 28.74/28.47 cnf('1.1.1.1.1.2.1.3',plain,[-(10 ^ [] = 10 ^ [])],extension(14,bind([[_5041], [10 ^ []]]))).
% 28.74/28.47 cnf('1.1.1.1.1.3',plain,[6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])] = 9 ^ [], -(9 ^ [] = 6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])])],extension(15,bind([[_5239, _5194], [9 ^ [], 6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])]]]))).
% 28.74/28.47 cnf('1.1.1.1.1.3.1',plain,[9 ^ [] = 6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], -(in(6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], 10 ^ [])), in(9 ^ [], 10 ^ []), 10 ^ [] = 10 ^ []],extension(16,bind([[_6016, _5949, _6082, _6147], [6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], 9 ^ [], 10 ^ [], 10 ^ []]]))).
% 28.74/28.47 cnf('1.1.1.1.1.3.1.1',plain,[in(6 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])], 10 ^ []), -(7 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])])],extension(6,bind([[_9248, _9192], [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])]]))).
% 28.74/28.47 cnf('1.1.1.1.1.3.1.1.1',plain,[7 ^ [10 ^ [], unordered_pair(8 ^ [], 9 ^ [])]],reduction('1.1.1')).
% 28.74/28.47 cnf('1.1.1.1.1.3.1.2',plain,[-(in(9 ^ [], 10 ^ [])), -(12 ^ [])],extension(2)).
% 28.74/28.47 cnf('1.1.1.1.1.3.1.2.1',plain,[12 ^ []],reduction('1')).
% 28.74/28.47 cnf('1.1.1.1.1.3.1.3',plain,[-(10 ^ [] = 10 ^ [])],extension(14,bind([[_5041], [10 ^ []]]))).
% 28.74/28.47 cnf('1.2',plain,[-(11 ^ []), in(8 ^ [], 10 ^ []), in(9 ^ [], 10 ^ [])],extension(4)).
% 28.74/28.47 cnf('1.2.1',plain,[-(in(8 ^ [], 10 ^ [])), subset(unordered_pair(8 ^ [], 9 ^ []), 10 ^ []), in(8 ^ [], unordered_pair(8 ^ [], 9 ^ []))],extension(18,bind([[_9248, _9362, _9192], [10 ^ [], 8 ^ [], unordered_pair(8 ^ [], 9 ^ [])]]))).
% 28.74/28.47 cnf('1.2.1.1',plain,[-(subset(unordered_pair(8 ^ [], 9 ^ []), 10 ^ [])), -(11 ^ [])],extension(5)).
% 28.74/28.47 cnf('1.2.1.1.1',plain,[11 ^ []],reduction('1')).
% 28.74/28.47 cnf('1.2.1.2',plain,[-(in(8 ^ [], unordered_pair(8 ^ [], 9 ^ []))), -(2 ^ [unordered_pair(8 ^ [], 9 ^ []), 9 ^ [], 8 ^ []]), 1 ^ [8 ^ [], unordered_pair(8 ^ [], 9 ^ []), 9 ^ [], 8 ^ []]],extension(11,bind([[_8810, _8646, _8577, _8507], [8 ^ [], unordered_pair(8 ^ [], 9 ^ []), 9 ^ [], 8 ^ []]]))).
% 28.74/28.47 cnf('1.2.1.2.1',plain,[2 ^ [unordered_pair(8 ^ [], 9 ^ []), 9 ^ [], 8 ^ []], unordered_pair(8 ^ [], 9 ^ []) = unordered_pair(8 ^ [], 9 ^ [])],extension(19,bind([[_8646, _8507, _8577], [unordered_pair(8 ^ [], 9 ^ []), 8 ^ [], 9 ^ []]]))).
% 28.74/28.47 cnf('1.2.1.2.1.1',plain,[-(unordered_pair(8 ^ [], 9 ^ []) = unordered_pair(8 ^ [], 9 ^ [])), 8 ^ [] = 8 ^ [], 9 ^ [] = 9 ^ []],extension(13,bind([[_7207, _7274, _7340, _7405], [8 ^ [], 8 ^ [], 9 ^ [], 9 ^ []]]))).
% 28.74/28.47 cnf('1.2.1.2.1.1.1',plain,[-(8 ^ [] = 8 ^ [])],extension(14,bind([[_5041], [8 ^ []]]))).
% 28.74/28.47 cnf('1.2.1.2.1.1.2',plain,[-(9 ^ [] = 9 ^ [])],extension(14,bind([[_5041], [9 ^ []]]))).
% 28.74/28.47 cnf('1.2.1.2.2',plain,[-(1 ^ [8 ^ [], unordered_pair(8 ^ [], 9 ^ []), 9 ^ [], 8 ^ []]), 8 ^ [] = 8 ^ []],extension(9,bind([[_8646, _8577, _8810, _8507], [unordered_pair(8 ^ [], 9 ^ []), 9 ^ [], 8 ^ [], 8 ^ []]]))).
% 28.74/28.47 cnf('1.2.1.2.2.1',plain,[-(8 ^ [] = 8 ^ [])],extension(14,bind([[_5041], [8 ^ []]]))).
% 28.74/28.47 cnf('1.2.2',plain,[-(in(9 ^ [], 10 ^ [])), subset(unordered_pair(8 ^ [], 9 ^ []), 10 ^ []), in(9 ^ [], unordered_pair(8 ^ [], 9 ^ []))],extension(18,bind([[_9248, _9362, _9192], [10 ^ [], 9 ^ [], unordered_pair(8 ^ [], 9 ^ [])]]))).
% 28.74/28.47 cnf('1.2.2.1',plain,[-(subset(unordered_pair(8 ^ [], 9 ^ []), 10 ^ [])), -(11 ^ [])],extension(5)).
% 28.74/28.47 cnf('1.2.2.1.1',plain,[11 ^ []],reduction('1')).
% 28.74/28.47 cnf('1.2.2.2',plain,[-(in(9 ^ [], unordered_pair(8 ^ [], 9 ^ []))), -(2 ^ [unordered_pair(8 ^ [], 9 ^ []), 9 ^ [], 8 ^ []]), 1 ^ [9 ^ [], unordered_pair(8 ^ [], 9 ^ []), 9 ^ [], 8 ^ []]],extension(11,bind([[_8810, _8646, _8577, _8507], [9 ^ [], unordered_pair(8 ^ [], 9 ^ []), 9 ^ [], 8 ^ []]]))).
% 28.74/28.47 cnf('1.2.2.2.1',plain,[2 ^ [unordered_pair(8 ^ [], 9 ^ []), 9 ^ [], 8 ^ []], unordered_pair(8 ^ [], 9 ^ []) = unordered_pair(8 ^ [], 9 ^ [])],extension(19,bind([[_8646, _8507, _8577], [unordered_pair(8 ^ [], 9 ^ []), 8 ^ [], 9 ^ []]]))).
% 28.74/28.47 cnf('1.2.2.2.1.1',plain,[-(unordered_pair(8 ^ [], 9 ^ []) = unordered_pair(8 ^ [], 9 ^ [])), 8 ^ [] = 8 ^ [], 9 ^ [] = 9 ^ []],extension(13,bind([[_7207, _7274, _7340, _7405], [8 ^ [], 8 ^ [], 9 ^ [], 9 ^ []]]))).
% 28.74/28.47 cnf('1.2.2.2.1.1.1',plain,[-(8 ^ [] = 8 ^ [])],extension(14,bind([[_5041], [8 ^ []]]))).
% 28.74/28.47 cnf('1.2.2.2.1.1.2',plain,[-(9 ^ [] = 9 ^ [])],extension(14,bind([[_5041], [9 ^ []]]))).
% 28.74/28.47 cnf('1.2.2.2.2',plain,[-(1 ^ [9 ^ [], unordered_pair(8 ^ [], 9 ^ []), 9 ^ [], 8 ^ []]), 9 ^ [] = 9 ^ []],extension(8,bind([[_8646, _8507, _8810, _8577], [unordered_pair(8 ^ [], 9 ^ []), 8 ^ [], 9 ^ [], 9 ^ []]]))).
% 28.74/28.47 cnf('1.2.2.2.2.1',plain,[-(9 ^ [] = 9 ^ [])],extension(14,bind([[_5041], [9 ^ []]]))).
% 28.74/28.47 %-----------------------------------------------------
% 28.74/28.47
% 28.74/28.48 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------